Chapter 1.3, Problem 9CYU

To determine

To find the coordinates

Answer to Problem 9CYU

The coordinate of midpoint is (4, -5.5).

Explanation of Solution

Given information:

  $J(5,-3)$ and $K(3,-8)$

Formula used:

Midpoint formula = $\frac{x_2^{}+x_1^{}}{2}$ for coordinate of x .

Calculation:

Let

  $x_1^{}=5,x_2^{}=3$ and,

  $y_1^{}=-3,y_2^{}=-8$

For x coordinate, substituting values,

  x_m = $\frac{5+3}{2}$

Solving,

  x_m = $\frac{8}{2}$

Hence, x_m = $4$

For y coordinate, substituting values,

  $y_m^{}=\frac{-3+(-8)}{2}$

Solving,

  $y_m^{}=\frac{-11}{2}$

Hence, $y_m^{}=-5.5$

The coordinate of midpoint is (4, -5.5).